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On the Kneser-Type Solutions for Two-Dimensional Linear Differential Systems with Deviating Arguments.
- Source :
- Journal of Inequalities & Applications; 2007, Vol. 2007 Issue 1, p1-22, 22p
- Publication Year :
- 2007
-
Abstract
- The article presents a study on the mathematical equation of two-dimensional linear differential systems with deviating arguments using Kneser type solutions. It presents an equation with positive coefficient and two linearly independent solutions. The article also evaluates the existence and uniqueness of these types of solutions. It proves that Kneser type solution is equivalent to nonvanishing of the Wronskian fundamental system and positivity of Green's function of the problem.
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2007
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 31689473
- Full Text :
- https://doi.org/10.1155/2007/52304